Monte Carlo simulations of the Ising and the Sznajd model on growing Barabasi-Albert networks

摘要

The Ising model on growing Barabasi-Albert networks shows the same ferromagnetic behavior as on static Barabasi-Albert networks. Sznajd models on growing Barabasi-Albert networks show an hysteresis-like behavior. A nearly full consensus builds up and the winning opinion depends on history. On slow growing Barabasi-Albert networks a full consensus builds up. At five opinions in the Sznajd model with limited persuasion on growing Barabasi-Albert networks, all odd opinions win and all even opinions loose supporters. [References: 9]